A related theme, initiated by Lieb-Thirring [1]}, [2]} concerns bounds for \(\gamma \) -moments of negative eigenvalues
\(\lambda ^{-}_j(\Delta +V)\) , \(j\ge 0\) . Namely, if \(\gamma >0\) , then there is a constant
\(L_{\gamma ,n}>0\)  depending only \(n\)  and \(\gamma \)  such that, for any real-valued potential \(V\in L_{n+\gamma }(\mathbb {R}^n)\) , we have
\(\sum _{j} |\lambda ^{-}_j(\Delta +V)|^\gamma \le L_{\gamma ,n} \int |V_-(x)|^{\frac{n}{2}+\gamma }\,dx.\) 
